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Finding the Fourth Proportional to 4,692.64, 6,476.16 and 2,703.82

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Solution

The fourth proportional to 4,692.64, 6,476.16 and 2,703.82 is: 3,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.64 : 6,476.16 = 2,703.82 : x
  2. Step 2: Convert to fraction form
    4,692.64/6,476.16 = 2,703.82/x
  3. Step 3: Cross multiply
    4,692.64x = 6,476.16 × 2,703.82
  4. Step 4: Simplify right side
    4,692.64x = 17,510,370.93
  5. Step 5: Solve for x
    x = 17,510,370.93/4,692.64
  6. Step 6: Final answer
    x = 3,731.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.